Properties Of The Graph Of A Quadratic Function Worksheet Page 2
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2
3
4a >
Facts: A parabola opens up if
0
a <
A parabola opens down if
0
When the parabola opens up, the parabola has a minimum y-value and when the parabola opens
down, the parabola has a maximum y-value. The location of the maximum or minimum is called the
vertex or turning point.
All parabolas have a line of symmetry . Figures that exhibit line symmetry can be folded in half so
that one half folds exactly onto the other.
y
=
+
+ .
2
Exercise #3: Graph the function
y
x
6
x
8
Draw the line of symmetry and state its equation.
x
The vertical line that cuts the parabola in half is
= ,
called the axis of symmetry . It has equation x k
where k is a constant.
= −
−
+ answer the following questions.
2
Exercise #4: Given the quadratic function
y
2
x x
8
(a)
Write the equation in standard form.
y
(b)
Which way does the graph open?
(c)
Graph the function on the axes at the right.
(d)
Write the equation for the axis of symmetry using the graph.
x
(e)
Determine the y-intercept of the graph.
(f)
Find all x-intercepts.
Algebra 1, Unit 5 – Quadratic Functions – L1
The Arlington Algebra Project, LaGrangeville, NY 12540
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